\newproblem{lay:3_3_2}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 3.3.2}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Laura Zarandieta, Oct. 29th 2013} \\}{}

  % Problem statement
	Use Cramer's rule to solve the following equation system
	\begin{center}
		$4x_1+x_2=6$\\
		$5x_1+2x_2=7$
	\end{center}
}{
   % Solution
	\begin{center}
		$x_1=\frac{\left|\begin{array}{rr} 6 & 1 \\ 7 & 2\end{array}\right|}{\left|\begin{array}{rr} 4 & 1 \\ 5 & 2\end{array}\right|}=					\frac{6\cdot 2 - 7\cdot 1}{4\cdot 2 - 1\cdot 5}=\frac{5}{3}$ \\
		$x_2=\frac{\left|\begin{array}{rr} 4 & 6 \\ 5 & 7\end{array}\right|}{\left|\begin{array}{rr} 4 & 1 \\ 5 & 2\end{array}\right|}=					\frac{4\cdot 7 - 6\cdot 5}{4\cdot 2 - 1\cdot 5}=\frac{-2}{3}$ \\
	\end{center}
}
\useproblem{lay:3_3_2}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
